Work

On the Evans Chain Complex

Year: 2024

Type: article

Abstract: We elaborate on the construction of the Evans chain complex for higher-rank graph $C^*$ -algebras. Specifically, we introduce a block matrix presentation of the differential maps. These block matrices are then used to identify a wide family of higher-rank graph $C^*$ -algebras with trivial K-theory. Additionally, in the specialised case where the higher-rank graph consists of one vertex, we are able to use the Künneth theorem to explicitly compute the homology groups of the Evans chain complex.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972724000728

Author: S. JOSEPH LIPPERT

Institution: Sam Houston State University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,450

OpenAlex ID: W4403402758

FWCI:

Cites: 14

Cited by:

Related to: 10